Details

Time bar (total: 18.4s)

analyze5.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample3.9s (21.3%)

Results
2.4s4153×body1024valid
828.0ms2035×body512valid
376.0ms455×body2048valid
272.0ms1613×body256valid
0.0ms3×body256invalid
Bogosity

preprocess33.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
316×fma-def
62×sub-neg
42×cancel-sign-sub-inv
34×distribute-lft-neg-in
34×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
13041
24437
36937
410437
515033
622733
730533
837533
946833
1054133
1155133
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify49.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
316×fma-def
62×sub-neg
42×cancel-sign-sub-inv
34×distribute-lft-neg-in
34×neg-mul-1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01541
13041
24437
36937
410437
515033
622733
730533
837533
946833
1054133
1155133
Stop Event
1×saturated
Counts
1 → 10
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))

eval3.0ms (0%)

Compiler

Compiled 120 to 101 computations (15.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New9110
Fresh011
Picked000
Done000
Total9211
Accurracy
6.4%
Counts
11 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 14 to 13 computations (7.1% saved)

localize33.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓98.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓91.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Compiler

Compiled 51 to 42 computations (17.6% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
1.0ms
x
@0
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms
x
@0
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
1.0ms
x
@inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
0.0ms
x
@-inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

rewrite452.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1500×log-prod
774×fma-def
718×pow-exp
574×expm1-udef
572×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01579
132875
2429675
Stop Event
1×node limit
Counts
3 → 193
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))) -1)
(pow.f64 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
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(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 -2))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 2)))
(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))) -1)
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))

simplify234.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
974×distribute-lft-in
862×distribute-rgt-in
728×unswap-sqr
502×associate-+r+
444×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043010465
19419789
226379339
Stop Event
1×node limit
Counts
221 → 265
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
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(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 -2))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 2)))
(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))) -1)
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 -2))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 -2))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 -2))
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(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
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(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1) 1/2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1/3))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))

eval407.0ms (2.2%)

Compiler

Compiled 6486 to 5613 computations (13.5% saved)

prune113.0ms (0.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New24520265
Fresh000
Picked011
Done000
Total24521266
Accurracy
9.4%
Counts
266 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.4%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
▶6.4%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.3%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
1.2%
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
6.4%
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
6.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶7.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓6.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶4.0%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.5%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
6.5%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
6.4%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
6.4%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
▶6.4%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
▶1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1/3))
1.2%
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
Compiler

Compiled 998 to 913 computations (8.5% saved)

localize40.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓100.0%
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓100.0%
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓91.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
Compiler

Compiled 73 to 59 computations (19.2% saved)

series4.0ms (0%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
1.0ms
x
@inf
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
1.0ms
x
@0
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
0.0ms
x
@inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
0.0ms
x
@0
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))

rewrite132.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1742×log-prod
1418×fma-def
658×expm1-udef
656×log1p-udef
484×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
139096
2501680
Stop Event
1×node limit
Counts
4 → 282
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
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(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 1 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1/2) 1/4)))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

simplify167.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1102×unswap-sqr
860×times-frac
706×distribute-lft-neg-in
650×fma-neg
462×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056214446
1124013114
2367511566
Stop Event
1×node limit
Counts
322 → 353
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
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(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1/2) 1/4)))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1/2) 1/4)))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1/2) 1/4)))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 x (*.f64 x -1/4)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))

localize23.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(asin.f64 (sqrt.f64 1/2))
Compiler

Compiled 26 to 24 computations (7.7% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite49.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
924×pow1
904×add-sqr-sqrt
884×*-un-lft-identity
856×add-exp-log
856×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
11059
211519
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 1/2))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))

simplify65.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
896×distribute-lft-in
826×associate-*r*
778×fma-def
764×distribute-rgt-in
718×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095776
1242676
2758580
33655580
Stop Event
1×node limit
Counts
32 → 38
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) 1 (*.f64 (acos.f64 (sqrt.f64 1/2)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 1/2))) (cbrt.f64 (acos.f64 (sqrt.f64 1/2)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 1/2))) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (fma.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (fma.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (asin.f64 (sqrt.f64 1/2)) 1))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))

localize38.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
✓100.0%
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
✓98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓91.6%
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 68 to 56 computations (17.6% saved)

series74.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
32.0ms
x
@0
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
23.0ms
x
@inf
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
17.0ms
x
@-inf
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
0.0ms
x
@0
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
0.0ms
x
@-inf
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))

rewrite109.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1480×log-prod
706×pow-exp
694×prod-diff
592×expm1-udef
590×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017136
1336136
23980120
Stop Event
1×node limit
Counts
4 → 182
Calls
Call 1
Inputs
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))

simplify186.0ms (1%)

Algorithm
1×egg-herbie
Rules
1026×unswap-sqr
712×fma-neg
708×associate-+r+
702×associate-+l+
658×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03549052
17868730
223808336
Stop Event
1×node limit
Counts
230 → 182
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))))
(/.f64 (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1) (+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)))) (log.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))) (log.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))) (log.f64 (-.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(*.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1)
(*.f64 1 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (sqrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(log.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))))
(/.f64 (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1) (+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
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(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3) -1) (fma.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)) (fma.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))))
(/.f64 (fma.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1) (+.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) 1))
(/.f64 (fma.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -1) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(/.f64 (*.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1) -1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1))) (cbrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

localize94.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
✓99.7%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1/3))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
91.6%
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 106 to 90 computations (15.1% saved)

series85.0ms (0.5%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
47.0ms
x
@0
(*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
19.0ms
x
@inf
(*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
18.0ms
x
@-inf
(*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
0.0ms
x
@0
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1/3))
0.0ms
x
@-inf
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1/3))

rewrite90.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1750×log-prod
692×expm1-udef
686×log1p-udef
624×prod-diff
430×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021104
143184
2506076
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1/3))
(*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (sqrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
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(+.f64 0 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2)) (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 (log.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) 1)
(pow.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) 9))
(log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1))

simplify96.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1276×fma-def
886×distribute-lft-in
850×distribute-rgt-in
724×log-prod
622×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01993982
14423920
212763858
360363830
Stop Event
1×node limit
Counts
96 → 102
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (sqrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2)))
(+.f64 0 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2)) (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 (log.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))))
(+.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2) 1)) (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2)))) (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(+.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) 1)
(pow.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) 9))
(log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
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(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(+.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) 1)
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 3)
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3) 1/3)
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 2)
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) 9))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1)))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3) 1))
(*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(*.f64 3 (log.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))

localize49.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓98.5%
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓11.0%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
Compiler

Compiled 84 to 72 computations (14.3% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
1.0ms
x
@-inf
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
1.0ms
x
@inf
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
0.0ms
x
@0
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))

rewrite122.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1638×log-prod
1178×prod-diff
624×expm1-udef
622×log1p-udef
496×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018112
137672
2456560
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
Outputs
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(+.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(-.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(*.f64 1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(*.f64 -1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(/.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) 2)
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))

simplify99.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
754×fma-def
710×times-frac
586×log-prod
452×distribute-lft-in
430×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02063978
14523700
213243582
353753522
Stop Event
1×node limit
Counts
100 → 104
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(+.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(-.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(*.f64 1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(*.f64 -1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(/.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) 2)
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
Outputs
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
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eval1.0s (5.6%)

Compiler

Compiled 35957 to 31045 computations (13.7% saved)

prune419.0ms (2.3%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New1192141206
Fresh01515
Picked011
Done235
Total1194331227
Accurracy
9.4%
Counts
1227 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.4%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
6.4%
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
▶6.5%
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.5%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓6.4%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.3%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
1.2%
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
1.2%
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3))
▶6.4%
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
1.2%
(pow.f64 (E.f64) (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
6.2%
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) 4 (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
6.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
6.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶5.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
▶6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
✓7.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓6.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓4.0%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.5%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
6.5%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
6.4%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
6.4%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
▶6.5%
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1))
6.4%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
1.2%
(exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 3) 1/3))
1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64)))))) 1/3))
1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 1/3))
1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 2))) 1/3))
1.2%
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
Compiler

Compiled 1514 to 1391 computations (8.1% saved)

localize118.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
✓100.0%
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
✓99.4%
(/.f64 x (sqrt.f64 1/2))
✓91.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
Compiler

Compiled 93 to 79 computations (15.1% saved)

series4.0ms (0%)

Counts
4 → 28
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
1.0ms
x
@-inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
1.0ms
x
@0
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
0.0ms
x
@inf
(/.f64 x (sqrt.f64 1/2))
0.0ms
x
@0
(/.f64 x (sqrt.f64 1/2))

rewrite136.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1620×fma-def
736×expm1-udef
732×log1p-udef
576×fma-neg
426×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019152
1435108
25713108
Stop Event
1×node limit
Counts
4 → 273
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(/.f64 x (sqrt.f64 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 1))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 -2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 1 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) 2) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) (*.f64 (PI.f64) 1/2))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) 4))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) 4)) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)))))
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(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(fma.f64 (sqrt.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3)) (/.f64 1 (fma.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3)) (/.f64 1 (fma.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3)) (/.f64 1 (fma.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (cbrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (cbrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2)) (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) 1)
(*.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 1)
(*.f64 1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2) (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 1)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))

simplify258.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
820×distribute-lft-in
748×distribute-lft-neg-in
734×times-frac
734×distribute-rgt-neg-in
524×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048817939
1112216261
2336914319
Stop Event
1×node limit
Counts
301 → 313
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2)))))
(acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2)))))
(acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2)))))
(acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 1))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 -2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 1 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) 2) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(+.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) (*.f64 (PI.f64) 1/2))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) 4))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) 4)) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 1))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 1))
(fma.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 1 (fma.f64 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 1 (fma.f64 -2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 1 (fma.f64 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2) 1 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) -2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) 2) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
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(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3)) (/.f64 1 (fma.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3)) (/.f64 1 (fma.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (cbrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (cbrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2)) (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) 1)
(*.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 1)
(*.f64 1 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2) (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 1)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 2 (fma.f64 (PI.f64) -1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 2 (fma.f64 (PI.f64) -1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 2 (fma.f64 (PI.f64) -1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 2 (fma.f64 (PI.f64) -1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 2 (fma.f64 (PI.f64) -1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 x (sqrt.f64 1/2))))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 2 (fma.f64 (PI.f64) -1/2 (acos.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
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(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))

localize29.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
98.4%
(asin.f64 (sqrt.f64 1/2))
✓3.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
Compiler

Compiled 47 to 45 computations (4.3% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite83.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1322×log-prod
1196×fma-def
534×expm1-udef
532×log1p-udef
484×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01541
133425
2450225
Stop Event
1×node limit
Counts
1 → 105
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))

simplify98.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1520×fma-def
1166×fma-neg
804×div-sub
482×unsub-neg
360×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02244643
15114459
213994045
352514045
Stop Event
1×node limit
Counts
105 → 120
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 1/2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 1/2 (PI.f64) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 -1 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (*.f64 (PI.f64) 1/2))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 1)
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 1/2))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) -4)) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) -4 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 8)) (/.f64 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
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(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 2 (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 1/2)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 1/2)) -2 (*.f64 (PI.f64) 1/2))

localize52.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
✓99.9%
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
91.6%
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))
Compiler

Compiled 70 to 58 computations (17.1% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
0.0ms
x
@0
(cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
0.0ms
x
@-inf
(cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))

rewrite154.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1542×log-prod
770×pow-exp
624×prod-diff
618×expm1-udef
614×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01878
137978
2424670
Stop Event
1×node limit
Counts
2 → 88
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2) 3) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) 1) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1) 3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3/2) 2))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 0 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6))
(*.f64 (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)) (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))

simplify143.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1528×fma-def
1302×times-frac
956×log-prod
852×exp-prod
568×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02324338
15034232
215084116
347074112
Stop Event
1×node limit
Counts
112 → 114
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2) 3) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) 1) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1) 3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3/2) 2))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 0 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6))
(*.f64 (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)) (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
Outputs
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (pow.f64 1 1/3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3) 3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1) 3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3/2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3/2) 2))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
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(fma.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 -2 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
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(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1/3)))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 3)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1/6) 2)
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 2))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1) 1/3))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3) 1))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 1) 1))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 3))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) 2))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))

localize128.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
✓98.5%
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓91.6%
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1)
✓91.6%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
Compiler

Compiled 108 to 91 computations (15.7% saved)

series194.0ms (1.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
122.0ms
x
@inf
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1)
38.0ms
x
@-inf
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1)
32.0ms
x
@0
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1)
0.0ms
x
@0
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
0.0ms
x
@-inf
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))

rewrite169.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1498×log-prod
748×prod-diff
736×pow-exp
632×expm1-udef
630×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020128
1403128
24303128
Stop Event
1×node limit
Counts
4 → 173
Calls
Call 1
Inputs
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(-.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1) 1)
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2)) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (neg.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (neg.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) -1)
(+.f64 0 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 -1 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)) (cbrt.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)))) (log.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1))) (log.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1))))
(*.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)
(*.f64 1 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
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(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 2))

simplify181.0ms (1%)

Algorithm
1×egg-herbie
Rules
1164×unswap-sqr
732×log-prod
710×distribute-lft-out
678×fma-neg
470×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040411211
189910949
231469161
Stop Event
1×node limit
Counts
209 → 214
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(-.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1) 1)
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2)) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64))))))
(/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (neg.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (neg.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) -1)
(+.f64 0 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 -1 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)) (cbrt.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)))) (log.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1))))
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(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
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(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (/.f64 1 (+.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 2) (+.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))))
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(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(+.f64 (fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)))
(+.f64 (fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (PI.f64)))) (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (PI.f64)) 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (*.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 0)
(+.f64 0 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(+.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 1/2 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)) 1)))
(+.f64 (*.f64 1/3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 2 (*.f64 1/3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (*.f64 1/3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)) 1)))
(-.f64 (log1p.f64 (pow.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))) (log.f64 (-.f64 1 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 1 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (sqrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(pow.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 2))
Outputs
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 1)
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))) (log.f64 (-.f64 1 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))) (log.f64 (-.f64 1 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2))) (log1p.f64 (neg.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(*.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 1 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (sqrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 3)
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3) 1/3)
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 2)
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1) 1))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 3))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 1/3))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) 2))
(log1p.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))

localize105.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
98.5%
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓11.0%
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
Compiler

Compiled 141 to 118 computations (16.3% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
1.0ms
x
@-inf
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
1.0ms
x
@inf
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
0.0ms
x
@0
(sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
0.0ms
x
@inf
(sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))

rewrite90.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1028×fma-def
724×expm1-udef
720×log1p-udef
534×add-sqr-sqrt
516×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026132
155164
2678560
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2)) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(+.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(*.f64 1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 2))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 -1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) 2)
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))

simplify118.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1076×associate-*r*
944×associate-*l*
694×log-prod
464×exp-prod
450×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01714031
13633803
210923779
357383719
Stop Event
1×node limit
Counts
87 → 86
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2)) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(+.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(*.f64 1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 2))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 -1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) 2)
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
Outputs
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))) 1)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2)))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2)) (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) (neg.f64 (PI.f64))))))
(/.f64 (fma.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (*.f64 1/2 (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 1)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(pow.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(sqrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 1))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (neg.f64 (sqrt.f64 2)))
(*.f64 -1 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3/2)
(*.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (neg.f64 (sqrt.f64 2)))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 0 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (+.f64 0 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 0 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0))
(/.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 -1/2 (/.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 -2 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) 2)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

eval1.2s (6.4%)

Compiler

Compiled 35545 to 31111 computations (12.5% saved)

prune287.0ms (1.6%)

Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New1133131146
Fresh42024
Picked101
Done268
Total1140391179
Accurracy
9.4%
Counts
1179 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.2%
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
5.4%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
▶6.4%
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
6.4%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
4.0%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.4%
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
6.5%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓6.4%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
▶6.3%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
1.2%
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
1.2%
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
6.4%
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2 (*.f64 (PI.f64) 1/2))) 3)
6.5%
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) 3)
▶6.5%
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
6.4%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)
6.2%
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) 4 (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
6.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
4.0%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)))
6.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓5.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
✓6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
✓7.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶6.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓6.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓4.0%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶6.5%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
6.5%
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
6.4%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
6.4%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
6.5%
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2 (*.f64 1/2 (PI.f64)))))) 1))
6.5%
(expm1.f64 (+.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) -1))
6.4%
(expm1.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))))
6.4%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
1.2%
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3) 3))
1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64)))))) 1/3))
1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 1/3))
1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 2))) 1/3))
Compiler

Compiled 1893 to 1742 computations (8% saved)

localize104.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
✓98.5%
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
✓98.4%
(pow.f64 (PI.f64) 3)
✓91.7%
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))
Compiler

Compiled 211 to 180 computations (14.7% saved)

series7.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))
1.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))
1.0ms
x
@0
(fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
1.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))
1.0ms
x
@-inf
(fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))

rewrite143.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
926×expm1-udef
918×log1p-udef
570×add-sqr-sqrt
556×pow1
550×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028174
1609170
27139170
Stop Event
1×node limit
Counts
4 → 115
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)))
(pow.f64 (PI.f64) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
(fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
Outputs
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) 1 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (*.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) 1))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)))
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 (pow.f64 (PI.f64) 3) 1/8))
(*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) 1)
(*.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) 2)) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))))
(*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))) (/.f64 1 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))))
(*.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6))) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))) (-.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))) (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6))) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3)))) (neg.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6)))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) 3)) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (-.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) 2) (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)))
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(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2)
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(log.f64 (exp.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))

simplify151.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1136×cancel-sign-sub-inv
1006×unswap-sqr
998×fma-neg
752×distribute-rgt-neg-in
748×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03159967
18218667
231878305
Stop Event
1×node limit
Counts
151 → 166
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) 1 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (*.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) 1))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(+.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)))
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8) (*.f64 (pow.f64 (PI.f64) 3) 1/8))
(*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) 1)
(*.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) 2)) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8))))
(*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))) (/.f64 1 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))))
(*.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6))) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))) (-.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))) (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6))) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3)))) (neg.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2))))) (*.f64 1/16 (pow.f64 (PI.f64) 4))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(pow.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))))
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(exp.f64 (log.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))

localize34.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(/.f64 2 (-.f64 1 x))
✓98.5%
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓98.5%
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓91.6%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
Compiler

Compiled 65 to 55 computations (15.4% saved)

series4.0ms (0%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 2 (-.f64 1 x))
0.0ms
x
@inf
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
0.0ms
x
@inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
0.0ms
x
@0
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
0.0ms
x
@-inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))

rewrite108.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1606×log-prod
780×fma-def
612×expm1-udef
610×log1p-udef
384×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016110
135388
2464488
Stop Event
1×node limit
Counts
4 → 201
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (PI.f64) 1/2 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 1 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (*.f64 (PI.f64) 1/2))
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(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (cbrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) -1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(pow.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))

simplify129.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1172×unswap-sqr
654×associate-+r+
506×log-prod
502×cancel-sign-sub-inv
494×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045911431
1104410843
2323910049
Stop Event
1×node limit
Counts
241 → 300
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 1 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 0 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8)) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8))) (neg.f64 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1)
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (cbrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) -1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(pow.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
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2
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) 1)
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1)
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1)
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 3)
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 1/3)
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 2)
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 1))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) 1)
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(*.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 1)
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (cbrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (cbrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (-.f64 1 x)))) (/.f64 1 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) -1))
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) -2)
(*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(pow.f64 (/.f64 2 (-.f64 1 x)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) -1)
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 1)
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3)
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 3) 1/3)
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2)
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) 3))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) -1))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 1))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))
(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(/.f64 2 (-.f64 1 x))
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))))
(*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 2 (-.f64 1 x))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(/.f64 2 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 2 (-.f64 1 x)) 1/4))
(/.f64 2 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(/.f64 (*.f64 2 (fma.f64 x (+.f64 1 x) 1)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 (*.f64 x x))))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(/.f64 2 (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(/.f64 2 (-.f64 1 x))
(pow.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)) 1/2)
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)))
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(/.f64 2 (-.f64 1 x))
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(/.f64 1 (-.f64 1/2 (/.f64 x 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 2 (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(/.f64 2 (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(/.f64 2 (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))

localize91.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
98.5%
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓98.4%
(sqrt.f64 (PI.f64))
✓5.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
Compiler

Compiled 57 to 43 computations (24.6% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
0.0ms
x
@inf
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
0.0ms
x
@-inf
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))

rewrite114.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1608×log-prod
768×pow-exp
688×prod-diff
622×expm1-udef
620×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01760
135348
2422540
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(sqrt.f64 (PI.f64))
Outputs
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 0 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))

simplify93.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
776×fma-neg
726×fma-def
662×associate-+r+
632×associate-+l+
532×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01832131
13942041
210931947
336841925
478751925
Stop Event
1×node limit
Counts
77 → 86
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 0 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2 (*.f64 1/2 (PI.f64))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(*.f64 1 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (fabs.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (fabs.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(pow.f64 (PI.f64) 1/2)
(sqrt.f64 (PI.f64))
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(sqrt.f64 (PI.f64))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1) 1/2))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1/2) 1))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) 1))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) 3))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1/3))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))
(sqrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))

localize47.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (fma.f64 x -1/2 1/2))
98.5%
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓98.4%
(cbrt.f64 (PI.f64))
✓6.0%
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
Compiler

Compiled 62 to 49 computations (21% saved)

series50.0ms (0.3%)

Counts
3 → 16
Calls

6 calls:

TimeVariablePointExpression
49.0ms
x
@0
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
0.0ms
x
@-inf
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
0.0ms
x
@inf
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
0.0ms
x
@-inf
(sqrt.f64 (fma.f64 x -1/2 1/2))
0.0ms
x
@inf
(sqrt.f64 (fma.f64 x -1/2 1/2))

rewrite161.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1574×log-prod
792×pow-exp
644×expm1-udef
638×log1p-udef
558×log-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02075
139557
2431953
Stop Event
1×node limit
Counts
3 → 102
Calls
Call 1
Inputs
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(cbrt.f64 (PI.f64))
(sqrt.f64 (fma.f64 x -1/2 1/2))
Outputs
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 (*.f64 1/2 (PI.f64)) 1) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) (fma.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (*.f64 1/2 (PI.f64)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (exp.f64 (*.f64 1/2 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 0 (cbrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(*.f64 (cbrt.f64 (PI.f64)) 1)
(*.f64 1 (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1/3)))
(pow.f64 (PI.f64) 1/3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2)
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(fabs.f64 (cbrt.f64 (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 1/6))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 1) 1/6))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (PI.f64))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 1/3) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (PI.f64))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (PI.f64)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x -1/2 1/2))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x -1/2 1/2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

simplify118.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1036×fma-def
786×times-frac
754×log-prod
734×exp-prod
658×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02812886
16042762
216572632
354762596
Stop Event
1×node limit
Counts
118 → 138
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (*.f64 (*.f64 1/2 (PI.f64)) 1) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) (fma.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (*.f64 1/2 (PI.f64)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (exp.f64 (*.f64 1/2 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 0 (cbrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(*.f64 (cbrt.f64 (PI.f64)) 1)
(*.f64 1 (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1/3)))
(pow.f64 (PI.f64) 1/3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2)
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(fabs.f64 (cbrt.f64 (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 1/6))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 1) 1/6))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (PI.f64))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 1/3) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (PI.f64))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (PI.f64)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x -1/2 1/2))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x -1/2 1/2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
Outputs
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))
(fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2)))
(fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 1/2) x)) (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2))) (+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 (*.f64 -1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5))))
(fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 1/2) x)) (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (*.f64 1/2 (PI.f64)) 1) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 1 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) (fma.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/2 (*.f64 (*.f64 (PI.f64) -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (*.f64 -2 (*.f64 (PI.f64) -1/2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (*.f64 -2 (*.f64 (PI.f64) -1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2 (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (exp.f64 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 1/2 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) 1))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1/3))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (PI.f64))))))
(cbrt.f64 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(cbrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) 1)
(cbrt.f64 (PI.f64))
(*.f64 1 (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(cbrt.f64 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(cbrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1/3)))
(cbrt.f64 (PI.f64))
(pow.f64 (PI.f64) 1/3)
(cbrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 2) 1/6)
(cbrt.f64 (PI.f64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2)
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(cbrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(cbrt.f64 (PI.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(cbrt.f64 (PI.f64))
(fabs.f64 (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(cbrt.f64 (PI.f64))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1) 1/3))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 1/6))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 1) 1/6))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (PI.f64))) 1/2))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 1/3) 1/2))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (PI.f64))) 1) 1/2))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1/3) 1))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1) 1))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (PI.f64)))) 3))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (PI.f64))) 2))
(cbrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1) 1/2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2) 1))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) 1))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x -1/2 1/2))) 1/3))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x -1/2 1/2))) 2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))

localize120.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(cbrt.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64)))))
✓99.9%
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
98.5%
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓91.6%
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
Compiler

Compiled 181 to 155 computations (14.4% saved)

series33.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
23.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
3.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
1.0ms
x
@0
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
1.0ms
x
@inf
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))

rewrite142.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
918×expm1-udef
910×log1p-udef
560×add-sqr-sqrt
538×pow1
532×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028215
1598215
27060215
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
(cbrt.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (/.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) 1)
(*.f64 1 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3) 64) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) -1/64)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3) 64) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) -1/64))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (*.f64 (pow.f64 (PI.f64) 4) 1/16))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3) 64) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) -1/64)) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 3) 64) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) -1/64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))))))
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(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (/.f64 1 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1/3) (pow.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))))
(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(/.f64 (cbrt.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(/.f64 (neg.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))) (neg.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 3)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))

simplify153.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
998×fma-def
676×div-sub
582×cancel-sign-sub-inv
510×distribute-lft-neg-in
462×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031113764
171413622
2302213354
Stop Event
1×node limit
Counts
160 → 181
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (/.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) 1)
(*.f64 1 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))
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(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (pow.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 1/3))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (/.f64 1 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) (cbrt.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1/3) (pow.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))))
(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))
(/.f64 (cbrt.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(/.f64 (neg.f64 (cbrt.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))) (neg.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 3)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (PI.f64) (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
Outputs
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64))))) 1/3))
(cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(cbrt.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))) 1))
(cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(cbrt.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 -1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 -1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(cbrt.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))

eval1.4s (7.5%)

Compiler

Compiled 45639 to 38681 computations (15.2% saved)

prune628.0ms (3.4%)

Pruning

49 alts after pruning (41 fresh and 8 done)

PrunedKeptTotal
New1214251239
Fresh121628
Picked101
Done2810
Total1229491278
Accurracy
9.6%
Counts
1278 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(fma.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.3%
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2))
✓6.4%
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
6.4%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
4.0%
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
6.4%
(fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
6.4%
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
6.5%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓6.4%
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
6.3%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2))
✓6.3%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
6.3%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) -2))
6.5%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
1.2%
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
1.2%
(pow.f64 (pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3) 3)
1.2%
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
6.5%
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
6.5%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
6.4%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)
6.2%
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) 4 (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
6.5%
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
6.5%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)))
✓5.2%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
✓6.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
✓7.7%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
6.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
6.3%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))))
4.1%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓6.4%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓4.0%
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
6.4%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 1/2 (PI.f64)))))
6.5%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
6.5%
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
6.5%
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))) (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
6.5%
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2))))
6.5%
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
6.4%
(*.f64 (-.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
6.4%
(*.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))) (-.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2)))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
6.4%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
6.4%
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (*.f64 (PI.f64) 1/2))))
6.4%
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
6.5%
(expm1.f64 (+.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) -1))
6.4%
(expm1.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))))
6.4%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
1.2%
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3) 3))
1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64)))))) 1/3))
1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 1/3))
1.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 2))) 1/3))
Compiler

Compiled 1382 to 1257 computations (9% saved)

regimes213.0ms (1.2%)

Counts
73 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 1/3))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (*.f64 (PI.f64) 1/2)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2 (*.f64 (PI.f64) 1/2)))) 1/3))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3) 3))
(expm1.f64 (+.f64 (+.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1) -1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
(pow.f64 (E.f64) (log.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))) 1/3))
(expm1.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2 (*.f64 (PI.f64) 1/2))) 3)
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 1))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) -2))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2))
(exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))))) 3) 1/3))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (*.f64 (PI.f64) 1/2)))
(fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 (PI.f64) 1/2))))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 2))) 1/3))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2 (*.f64 1/2 (PI.f64)))))) 1))
(/.f64 (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1/3) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64)))))) 1/3))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) 4 (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) (sqrt.f64 (+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64))) 1)) -1)
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (*.f64 -1/4 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
(*.f64 (-.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -1/2 (PI.f64))))) 3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) 3)
(*.f64 (fma.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) -8)) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (*.f64 1/2 (PI.f64)))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2))) (-.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (PI.f64) 3/2)) (*.f64 (sqrt.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3/2)))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))) (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (*.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 3))))) (/.f64 1 (fma.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (sqrt.f64 (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (*.f64 2 (asin.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
Calls

7 calls:

72.0ms
x
9.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
8.0ms
(-.f64 1 x)
8.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
7.0ms
(/.f64 (-.f64 1 x) 2)
Results
AccuracySegmentsBranch
7.7%1x
7.7%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
7.7%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
7.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
7.7%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
7.7%1(/.f64 (-.f64 1 x) 2)
7.7%1(-.f64 1 x)
Compiler

Compiled 2038 to 1774 computations (13% saved)

regimes35.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
Calls

7 calls:

16.0ms
x
3.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
3.0ms
(/.f64 (-.f64 1 x) 2)
3.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Results
AccuracySegmentsBranch
9.2%3x
6.4%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.4%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.4%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.4%1(/.f64 (-.f64 1 x) 2)
6.4%1(-.f64 1 x)
Compiler

Compiled 148 to 129 computations (12.8% saved)

bsearch138.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
60.0ms
3.548392571250871e-156
8.789478749046056e-155
78.0ms
-2.8197936544434164e-154
-9.83399337839914e-164
Results
131.0ms256×body1024valid
Compiler

Compiled 505 to 487 computations (3.6% saved)

regimes70.0ms (0.4%)

Counts
6 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))))
Calls

7 calls:

49.0ms
x
6.0ms
(-.f64 1 x)
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(/.f64 (-.f64 1 x) 2)
2.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
Results
AccuracySegmentsBranch
9.2%3x
6.4%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.4%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.4%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.4%1(/.f64 (-.f64 1 x) 2)
6.4%1(-.f64 1 x)
Compiler

Compiled 134 to 117 computations (12.7% saved)

bsearch195.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
99.0ms
3.548392571250871e-156
8.789478749046056e-155
96.0ms
-2.8197936544434164e-154
-9.83399337839914e-164
Results
191.0ms256×body1024valid
Compiler

Compiled 554 to 522 computations (5.8% saved)

regimes31.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
Calls

7 calls:

15.0ms
x
3.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(-.f64 1 x)
Results
AccuracySegmentsBranch
9.2%3x
6.4%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.4%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.4%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.4%1(/.f64 (-.f64 1 x) 2)
6.4%1(-.f64 1 x)
Compiler

Compiled 113 to 100 computations (11.5% saved)

bsearch188.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
58.0ms
3.548392571250871e-156
8.789478749046056e-155
130.0ms
-2.8197936544434164e-154
-9.83399337839914e-164
Results
180.0ms256×body1024valid
Compiler

Compiled 512 to 494 computations (3.5% saved)

regimes26.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Calls

7 calls:

10.0ms
x
3.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(/.f64 (-.f64 1 x) 2)
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
Results
AccuracySegmentsBranch
8.5%3x
6.4%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.4%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.4%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.4%1(/.f64 (-.f64 1 x) 2)
6.4%1(-.f64 1 x)
Compiler

Compiled 98 to 87 computations (11.2% saved)

bsearch134.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.8720244812200803e-17
4.755419408416392e-15
116.0ms
-2.8197936544434164e-154
-9.83399337839914e-164
Results
92.0ms144×body1024valid
16.0ms112×body256valid
Compiler

Compiled 498 to 480 computations (3.6% saved)

regimes21.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Calls

7 calls:

5.0ms
x
2.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(/.f64 (-.f64 1 x) 2)
Results
AccuracySegmentsBranch
6.4%1x
6.4%1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.4%1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.4%1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
6.4%1(/.f64 (-.f64 1 x) 2)
6.4%1(-.f64 1 x)
Compiler

Compiled 85 to 75 computations (11.8% saved)

regimes6.0ms (0%)

Accuracy

Total -2.3b remaining (-3.8%)

Threshold costs -2.3b (-3.8%)

Counts
2 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
5.8%2x
Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch114.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
113.0ms
-2.2811204487253738e-306
3.035657218085635e-302
Results
111.0ms144×body2048valid
Compiler

Compiled 234 to 232 computations (0.9% saved)

simplify43.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
398×unsub-neg
228×neg-mul-1
102×*-commutative
100×distribute-lft-neg-in
98×distribute-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078762
1145762
2233762
3292762
4422762
5596762
6642762
7776762
8931762
9932762
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 x 1)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 x 1)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 x 1)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 x 1)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6956167541431065/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(if (or (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (not (<=.f64 x 8924260225606735/162259276829213363391578010288128))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))))
(if (or (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (not (<=.f64 x 8924260225606735/162259276829213363391578010288128))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1))))
(if (or (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (not (<=.f64 x 8924260225606735/162259276829213363391578010288128))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 1/2)))))))
(if (or (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (not (<=.f64 x 8924260225606735/162259276829213363391578010288128))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
Compiler

Compiled 258 to 229 computations (11.2% saved)

soundness1.4s (7.4%)

Rules
1606×log-prod
1500×log-prod
1500×log-prod
1500×log-prod
974×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
11059
211519
01579
132875
2429675
043010465
19419789
226379339
01579
132875
2429675
016110
135388
2464488
01579
132875
2429675
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 435 to 377 computations (13.3% saved)

end231.0ms (1.3%)

Compiler

Compiled 251 to 215 computations (14.3% saved)

Profiling

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